TSTP Solution File: GEO558+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:11:45 EDT 2023
% Result : Theorem 85.93s 12.29s
% Output : CNFRefutation 85.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 31
% Syntax : Number of formulae : 319 ( 49 unt; 0 def)
% Number of atoms : 830 ( 16 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 886 ( 375 ~; 366 |; 99 &)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-5 aty)
% Number of variables : 845 ( 0 sgn; 551 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X2,X18,X7,X16,X1,X12,X19,X6,X20,X21,X22] :
( ( circle(X19,X18,X6,X22)
& circle(X12,X0,X6,X21)
& circle(X19,X18,X16,X1)
& circle(X12,X0,X2,X1)
& coll(X1,X2,X16)
& coll(X1,X0,X18)
& circle(X7,X0,X16,X20)
& circle(X7,X0,X2,X18) )
=> perp(X1,X6,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012018) ).
fof(f96,negated_conjecture,
~ ! [X0,X2,X18,X7,X16,X1,X12,X19,X6,X20,X21,X22] :
( ( circle(X19,X18,X6,X22)
& circle(X12,X0,X6,X21)
& circle(X19,X18,X16,X1)
& circle(X12,X0,X2,X1)
& coll(X1,X2,X16)
& coll(X1,X0,X18)
& circle(X7,X0,X16,X20)
& circle(X7,X0,X2,X18) )
=> perp(X1,X6,X6,X7) ),
inference(negated_conjecture,[],[f95]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
inference(rectify,[],[f54]) ).
fof(f134,plain,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
inference(rectify,[],[f56]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
inference(rectify,[],[f65]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> perp(X5,X8,X8,X3) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f229]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
fof(f244,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f133]) ).
fof(f245,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f244]) ).
fof(f248,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f134]) ).
fof(f249,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X5,X8,X8,X3)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X5,X8,X8,X3)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X5,X8,X8,X3)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> ( ~ perp(sK25,sK28,sK28,sK23)
& circle(sK27,sK22,sK28,sK31)
& circle(sK26,sK20,sK28,sK30)
& circle(sK27,sK22,sK24,sK25)
& circle(sK26,sK20,sK21,sK25)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK22)
& circle(sK23,sK20,sK24,sK29)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK25,sK28,sK28,sK23)
& circle(sK27,sK22,sK28,sK31)
& circle(sK26,sK20,sK28,sK30)
& circle(sK27,sK22,sK24,sK25)
& circle(sK26,sK20,sK21,sK25)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK22)
& circle(sK23,sK20,sK24,sK29)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
fof(f413,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f245]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f249]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f473,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
circle(sK23,sK20,sK24,sK29),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK25,sK21,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
circle(sK26,sK20,sK21,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
circle(sK26,sK20,sK28,sK30),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
~ perp(sK25,sK28,sK28,sK23),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_102,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(cnf_transformation,[],[f413]) ).
cnf(c_104,plain,
( ~ perp(X0,X1,X2,X3)
| ~ midp(X1,X2,X3)
| cong(X0,X2,X0,X3) ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ perp(sK25,sK28,sK28,sK23),
inference(cnf_transformation,[],[f481]) ).
cnf(c_164,negated_conjecture,
circle(sK26,sK20,sK28,sK30),
inference(cnf_transformation,[],[f479]) ).
cnf(c_166,negated_conjecture,
circle(sK26,sK20,sK21,sK25),
inference(cnf_transformation,[],[f477]) ).
cnf(c_167,negated_conjecture,
coll(sK25,sK21,sK24),
inference(cnf_transformation,[],[f476]) ).
cnf(c_168,negated_conjecture,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_169,negated_conjecture,
circle(sK23,sK20,sK24,sK29),
inference(cnf_transformation,[],[f474]) ).
cnf(c_170,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_176,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_185,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_317,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(prop_impl_just,[status(thm)],[c_148]) ).
cnf(c_1825,plain,
( X0 != sK26
| X1 != sK20
| X2 != sK28
| X3 != sK30
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_317,c_164]) ).
cnf(c_1826,plain,
perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26),
inference(unflattening,[status(thm)],[c_1825]) ).
cnf(c_1994,plain,
( X0 != sK26
| X1 != sK20
| X2 != sK21
| X3 != sK25
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_102,c_166]) ).
cnf(c_1995,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK21,sK25) ),
inference(unflattening,[status(thm)],[c_1994]) ).
cnf(c_2071,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK24
| X3 != sK29
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_317,c_169]) ).
cnf(c_2072,plain,
perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_2071]) ).
cnf(c_2158,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK21
| X3 != sK22
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_102,c_170]) ).
cnf(c_2159,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(unflattening,[status(thm)],[c_2158]) ).
cnf(c_6720,plain,
( ~ coll(sK25,sK20,sK22)
| coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_6722,plain,
( ~ coll(sK25,sK20,sK22)
| coll(sK20,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_6764,plain,
( ~ coll(sK25,sK22,X0)
| ~ coll(sK25,sK22,sK20)
| coll(X0,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_6765,plain,
( ~ coll(sK25,sK22,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_6764]) ).
cnf(c_6780,plain,
( ~ coll(sK20,sK25,X0)
| ~ coll(sK20,sK25,sK22)
| coll(X0,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_6781,plain,
( ~ coll(sK20,sK25,sK22)
| ~ coll(sK20,sK25,sK20)
| coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6780]) ).
cnf(c_6812,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26)
| perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_6889,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23)
| perp(sK20,sK23,sK11(sK20,sK24,sK29,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_6890,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23)
| perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_6892,plain,
( ~ perp(X0,X1,sK11(sK20,sK24,sK29,sK23),sK20)
| ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23)
| para(X0,X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7079,plain,
coll(sK25,sK24,sK21),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_7080,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_168,c_49]) ).
cnf(c_7081,plain,
coll(sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_167,c_50]) ).
cnf(c_7082,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_168,c_50]) ).
cnf(c_7111,plain,
coll(sK21,sK24,sK25),
inference(superposition,[status(thm)],[c_7081,c_49]) ).
cnf(c_7113,plain,
coll(sK20,sK22,sK25),
inference(superposition,[status(thm)],[c_7082,c_49]) ).
cnf(c_7224,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20)
| perp(sK26,sK20,sK11(sK20,sK28,sK30,sK26),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_7227,plain,
( ~ perp(X0,X1,sK11(sK20,sK28,sK30,sK26),sK20)
| ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20)
| para(X0,X1,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7242,plain,
( ~ coll(sK25,sK24,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_7079,c_51]) ).
cnf(c_7243,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_7080,c_51]) ).
cnf(c_7246,plain,
( ~ coll(sK20,sK22,X0)
| coll(sK25,X0,sK20) ),
inference(superposition,[status(thm)],[c_7113,c_51]) ).
cnf(c_7249,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK25,X0,sK21) ),
inference(superposition,[status(thm)],[c_7111,c_51]) ).
cnf(c_7255,plain,
( ~ coll(sK20,sK22,sK20)
| coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7246]) ).
cnf(c_7327,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_7079,c_7242]) ).
cnf(c_7331,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_7327,c_49]) ).
cnf(c_7335,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_7080,c_7243]) ).
cnf(c_7338,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_7335,c_49]) ).
cnf(c_7361,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7331,c_51]) ).
cnf(c_7365,plain,
( ~ coll(sK21,sK25,sK20)
| coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7361]) ).
cnf(c_7366,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_7338,c_51]) ).
cnf(c_7369,plain,
( ~ coll(sK20,sK25,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7366]) ).
cnf(c_7453,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| perp(sK23,sK20,sK11(sK20,sK24,sK29,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_7456,plain,
( ~ perp(X0,X1,sK11(sK20,sK24,sK29,sK23),sK20)
| ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| para(X0,X1,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7534,plain,
( ~ coll(X0,sK20,X1)
| ~ coll(X0,sK20,sK25)
| coll(X1,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_7566,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_7113,c_7246]) ).
cnf(c_7618,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_7111,c_7249]) ).
cnf(c_7621,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23)
| ~ perp(sK20,sK23,sK11(sK20,sK24,sK29,sK23),sK20)
| para(sK20,sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6892]) ).
cnf(c_7623,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_7618,c_51]) ).
cnf(c_7626,plain,
( ~ coll(sK25,sK25,sK20)
| coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_7623]) ).
cnf(c_7666,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_166,c_102]) ).
cnf(c_7668,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_170,c_102]) ).
cnf(c_7851,plain,
( ~ coll(sK21,X0,sK25)
| coll(sK21,sK25,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_7852,plain,
( ~ coll(sK21,sK20,sK25)
| coll(sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_7851]) ).
cnf(c_7854,plain,
( ~ coll(sK26,X0,X1)
| coll(sK26,X1,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_7901,plain,
( ~ coll(sK23,X0,X1)
| coll(sK23,X1,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_7909,plain,
( ~ coll(sK20,sK25,sK23)
| ~ coll(sK20,sK25,sK22)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6780]) ).
cnf(c_8426,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK21,sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7666,c_56]) ).
cnf(c_9065,plain,
( ~ perp(sK21,sK25,X0,X1)
| ~ coll(sK26,sK20,sK25)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7666,c_57]) ).
cnf(c_9177,plain,
( ~ coll(sK26,sK20,sK25)
| para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_8426,c_9065]) ).
cnf(c_9361,plain,
( ~ cong(X0,X1,X0,X1)
| ~ midp(X0,X2,X2)
| perp(X0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_105]) ).
cnf(c_9557,plain,
( ~ para(sK26,X0,sK26,X1)
| coll(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_9558,plain,
( ~ para(sK26,sK20,sK26,sK20)
| coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9557]) ).
cnf(c_9559,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_9560,plain,
( ~ para(sK23,sK20,sK23,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9559]) ).
cnf(c_9661,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X0,X1,X4,X5,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_67]) ).
cnf(c_9767,plain,
( ~ coll(sK23,X0,sK25)
| ~ coll(sK23,X0,sK20)
| coll(sK20,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_9768,plain,
( ~ coll(sK23,sK20,sK25)
| ~ coll(sK23,sK20,sK20)
| coll(sK20,sK25,sK23) ),
inference(instantiation,[status(thm)],[c_9767]) ).
cnf(c_10093,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20)
| ~ perp(sK26,sK20,sK11(sK20,sK28,sK30,sK26),sK20)
| para(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_7227]) ).
cnf(c_10198,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK11(sK20,sK24,sK29,sK23),sK20)
| para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7456]) ).
cnf(c_10375,plain,
( ~ coll(sK26,sK25,sK20)
| coll(sK26,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_7854]) ).
cnf(c_10413,plain,
( ~ coll(sK26,X0,X1)
| coll(X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_10414,plain,
( ~ coll(sK26,sK20,sK20)
| coll(sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_10413]) ).
cnf(c_10472,plain,
( ~ coll(sK23,sK25,sK20)
| coll(sK23,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_7901]) ).
cnf(c_10487,plain,
( ~ coll(sK23,X0,X1)
| coll(X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_10488,plain,
( ~ coll(sK23,sK20,sK20)
| coll(sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_10487]) ).
cnf(c_10572,plain,
( ~ coll(X0,sK20,sK25)
| ~ coll(X0,sK20,sK26)
| coll(sK26,sK25,X0) ),
inference(instantiation,[status(thm)],[c_7534]) ).
cnf(c_10578,plain,
( ~ coll(sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK26)
| coll(sK26,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_10572]) ).
cnf(c_10579,plain,
( ~ coll(X0,sK20,sK25)
| ~ coll(X0,sK20,sK23)
| coll(sK23,sK25,X0) ),
inference(instantiation,[status(thm)],[c_7534]) ).
cnf(c_10585,plain,
( ~ coll(sK20,sK20,sK25)
| ~ coll(sK20,sK20,sK23)
| coll(sK23,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_10579]) ).
cnf(c_10774,plain,
( ~ coll(X0,sK26,X1)
| coll(X0,X1,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_10775,plain,
( ~ coll(sK20,sK26,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_10774]) ).
cnf(c_10820,plain,
( ~ coll(X0,sK23,X1)
| coll(X0,X1,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_10821,plain,
( ~ coll(sK20,sK23,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_10820]) ).
cnf(c_10931,plain,
perp(sK20,sK21,sK21,sK25),
inference(global_subsumption_just,[status(thm)],[c_7666,c_168,c_1826,c_1995,c_6720,c_6765,c_6812,c_7224,c_9558,c_10093,c_10375,c_10414,c_10578,c_10775]) ).
cnf(c_10968,plain,
perp(sK21,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_10931,c_56]) ).
cnf(c_11202,plain,
( ~ perp(sK21,sK25,X0,X1)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_10931,c_57]) ).
cnf(c_11214,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK21,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_10968,c_57]) ).
cnf(c_11230,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_10968,c_11202]) ).
cnf(c_11677,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_11681,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11677]) ).
cnf(c_11686,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_11230,c_94]) ).
cnf(c_11694,plain,
( ~ coll(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_11686]) ).
cnf(c_11768,plain,
para(sK21,sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_10931,c_11214]) ).
cnf(c_11769,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7668,c_11214]) ).
cnf(c_12509,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_11230,c_113]) ).
cnf(c_12517,plain,
( ~ para(sK21,sK25,sK21,sK25)
| ~ midp(X0,sK21,sK21)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_11768,c_113]) ).
cnf(c_12524,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_12509]) ).
cnf(c_14683,plain,
perp(sK20,sK21,sK21,sK25),
inference(global_subsumption_just,[status(thm)],[c_7666,c_168,c_1826,c_1995,c_6720,c_6765,c_6812,c_7224,c_9558,c_10093,c_10375,c_10414,c_10578,c_10775]) ).
cnf(c_14726,plain,
perp(sK20,sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_14683,c_55]) ).
cnf(c_14733,plain,
perp(sK21,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_14683,c_56]) ).
cnf(c_14769,plain,
perp(sK25,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_14726,c_56]) ).
cnf(c_14827,plain,
( ~ perp(sK20,sK21,sK21,sK25)
| ~ coll(sK25,X0,X1)
| perp(sK16(sK20,sK25,sK21,X0,X1),sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_14828,plain,
( ~ perp(sK20,sK21,sK21,sK25)
| ~ coll(sK25,sK20,sK20)
| perp(sK16(sK20,sK25,sK21,sK20,sK20),sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_14827]) ).
cnf(c_15217,plain,
( ~ midp(sK21,sK20,sK21)
| cong(sK25,sK20,sK25,sK21) ),
inference(superposition,[status(thm)],[c_14769,c_104]) ).
cnf(c_15278,plain,
( ~ coll(sK23,sK22,sK20)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7901]) ).
cnf(c_15352,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK21,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_14733,c_57]) ).
cnf(c_15553,plain,
( ~ midp(sK21,sK20,sK21)
| cong(sK25,sK21,sK25,sK20) ),
inference(superposition,[status(thm)],[c_15217,c_72]) ).
cnf(c_16064,plain,
para(sK21,sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_14683,c_15352]) ).
cnf(c_16065,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7668,c_15352]) ).
cnf(c_16074,plain,
para(sK21,sK25,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_16065,c_168,c_2072,c_6720,c_6722,c_6765,c_6890,c_7453,c_7909,c_9560,c_9768,c_10198,c_10472,c_10488,c_10585,c_10821,c_11769,c_15278]) ).
cnf(c_16076,plain,
( ~ coll(sK25,X0,sK22)
| ~ midp(sK21,X0,sK21)
| midp(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_16074,c_94]) ).
cnf(c_16302,plain,
( ~ midp(sK21,sK20,sK21)
| midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_168,c_16076]) ).
cnf(c_16607,plain,
( ~ para(sK21,sK25,sK21,sK25)
| ~ midp(X0,sK21,sK21)
| midp(X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_16064,c_113]) ).
cnf(c_20169,plain,
( ~ midp(X0,sK21,sK21)
| midp(X0,sK25,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_16607,c_11768,c_12517]) ).
cnf(c_20171,plain,
( ~ midp(sK20,sK21,sK21)
| midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_20169]) ).
cnf(c_21365,plain,
( ~ para(X0,X1,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X3)
| cong(X1,X3,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
cnf(c_21391,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21365]) ).
cnf(c_22551,plain,
perp(sK20,sK21,sK21,sK25),
inference(global_subsumption_just,[status(thm)],[c_7666,c_168,c_1826,c_1995,c_6720,c_6765,c_6812,c_7224,c_9558,c_10093,c_10375,c_10414,c_10578,c_10775]) ).
cnf(c_22553,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_7668,c_168,c_2072,c_2159,c_6720,c_6722,c_6765,c_6890,c_7453,c_7909,c_9560,c_9768,c_10198,c_10472,c_10488,c_10585,c_10821,c_15278]) ).
cnf(c_22616,plain,
perp(sK20,sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_22551,c_55]) ).
cnf(c_22632,plain,
perp(sK25,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_22616,c_56]) ).
cnf(c_22783,plain,
perp(sK25,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_22632,c_55]) ).
cnf(c_22814,plain,
( ~ midp(X0,sK20,sK22)
| cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_22553,c_101]) ).
cnf(c_23103,plain,
( ~ cong(sK21,X0,X1,X2)
| ~ midp(X0,sK20,sK22)
| cong(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_22814,c_73]) ).
cnf(c_24567,plain,
( ~ coll(sK25,X0,X1)
| perp(sK16(sK20,sK25,sK21,X0,X1),sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_22551,c_155]) ).
cnf(c_24729,plain,
( ~ coll(sK25,X0,X1)
| perp(X0,X1,sK16(sK20,sK25,sK21,X0,X1),sK20) ),
inference(superposition,[status(thm)],[c_24567,c_56]) ).
cnf(c_25083,plain,
( ~ perp(sK16(sK20,sK25,sK21,X0,X1),sK20,X2,X3)
| ~ coll(sK25,X0,X1)
| para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_24729,c_57]) ).
cnf(c_25103,plain,
( ~ perp(sK16(sK20,sK25,sK21,sK20,sK20),sK20,sK20,sK20)
| ~ coll(sK25,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_25083]) ).
cnf(c_25568,plain,
( ~ perp(sK25,sK28,sK23,sK28)
| perp(sK25,sK28,sK28,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_27163,plain,
( ~ para(sK25,sK28,X0,X1)
| ~ perp(X0,X1,sK23,sK28)
| perp(sK25,sK28,sK23,sK28) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_27164,plain,
( ~ para(sK25,sK28,sK20,sK20)
| ~ perp(sK20,sK20,sK23,sK28)
| perp(sK25,sK28,sK23,sK28) ),
inference(instantiation,[status(thm)],[c_27163]) ).
cnf(c_27170,plain,
( ~ para(X0,X1,sK25,sK28)
| para(sK25,sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_27171,plain,
( ~ para(sK20,sK20,sK25,sK28)
| para(sK25,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_27170]) ).
cnf(c_30088,plain,
( ~ midp(sK21,sK21,sK20)
| cong(sK25,sK21,sK25,sK20) ),
inference(superposition,[status(thm)],[c_22783,c_104]) ).
cnf(c_30156,plain,
cong(sK25,sK21,sK25,sK20),
inference(global_subsumption_just,[status(thm)],[c_30088,c_168,c_176,c_1826,c_1995,c_6720,c_6722,c_6765,c_6781,c_6812,c_7224,c_7255,c_7338,c_7365,c_7369,c_7566,c_7626,c_7852,c_9558,c_10093,c_10375,c_10414,c_10578,c_10775,c_11681,c_11694,c_14828,c_15553,c_21391,c_25103]) ).
cnf(c_30166,plain,
cong(sK25,sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_30156,c_72]) ).
cnf(c_30843,plain,
cong(sK25,sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_30166,c_71]) ).
cnf(c_30943,plain,
cong(sK21,sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_30843,c_72]) ).
cnf(c_30985,plain,
cong(sK21,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_30943,c_71]) ).
cnf(c_31048,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,sK25,sK28)
| para(X0,X1,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_31052,plain,
( ~ perp(sK20,sK20,sK25,sK28)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_31048]) ).
cnf(c_31133,plain,
( ~ midp(sK25,sK20,sK22)
| cong(sK20,sK25,sK20,sK25) ),
inference(superposition,[status(thm)],[c_30985,c_23103]) ).
cnf(c_36794,plain,
( ~ midp(sK20,sK23,sK23)
| cong(sK20,sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_48731,plain,
( ~ para(X0,sK23,X1,sK23)
| ~ midp(X2,X0,X1)
| midp(X2,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_48732,plain,
( ~ para(sK20,sK23,sK20,sK23)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_48731]) ).
cnf(c_54879,plain,
( ~ eqangle(sK25,sK28,X0,X1,X2,X3,X0,X1)
| para(sK25,sK28,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_60851,plain,
( ~ para(X0,X1,X2,sK28)
| ~ para(X0,sK28,X2,X1)
| ~ midp(X3,X0,X2)
| midp(X3,sK28,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_61355,plain,
( ~ eqangle(sK25,sK28,X0,X1,sK25,sK28,X0,X1)
| para(sK25,sK28,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_54879]) ).
cnf(c_61356,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(sK25,sK28,X0,X1,sK25,sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_9661]) ).
cnf(c_61357,plain,
( ~ eqangle(sK25,sK28,sK20,sK20,sK25,sK28,sK20,sK20)
| para(sK25,sK28,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_61355]) ).
cnf(c_61358,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK25,sK28,sK20,sK20,sK25,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_61356]) ).
cnf(c_76327,plain,
( ~ cong(X0,sK23,X0,sK23)
| ~ midp(X0,sK28,sK28)
| perp(X0,X0,sK23,sK28) ),
inference(instantiation,[status(thm)],[c_9361]) ).
cnf(c_76328,plain,
( ~ cong(sK20,sK23,sK20,sK23)
| ~ midp(sK20,sK28,sK28)
| perp(sK20,sK20,sK23,sK28) ),
inference(instantiation,[status(thm)],[c_76327]) ).
cnf(c_76558,plain,
( ~ cong(X0,sK25,X0,sK25)
| ~ midp(X0,sK28,sK28)
| perp(X0,X0,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_9361]) ).
cnf(c_76559,plain,
( ~ cong(sK20,sK25,sK20,sK25)
| ~ midp(sK20,sK28,sK28)
| perp(sK20,sK20,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_76558]) ).
cnf(c_102461,plain,
( ~ para(sK25,sK28,sK25,sK28)
| ~ midp(X0,sK25,sK25)
| midp(X0,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_60851]) ).
cnf(c_102462,plain,
( ~ para(sK25,sK28,sK25,sK28)
| ~ midp(sK20,sK25,sK25)
| midp(sK20,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_102461]) ).
cnf(c_102463,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_102462,c_76559,c_76328,c_61358,c_61357,c_48732,c_36794,c_31133,c_31052,c_27171,c_27164,c_25568,c_25103,c_21391,c_20171,c_16302,c_14828,c_12524,c_11694,c_11681,c_10775,c_10578,c_10414,c_10375,c_10093,c_9558,c_9177,c_7852,c_7626,c_7621,c_7566,c_7369,c_7365,c_7338,c_7255,c_7224,c_6889,c_6812,c_6781,c_6765,c_6722,c_6720,c_2072,c_1995,c_1826,c_185,c_176,c_162,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 23:44:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 85.93/12.29 % SZS status Started for theBenchmark.p
% 85.93/12.29 % SZS status Theorem for theBenchmark.p
% 85.93/12.29
% 85.93/12.29 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 85.93/12.29
% 85.93/12.29 ------ iProver source info
% 85.93/12.29
% 85.93/12.29 git: date: 2023-05-31 18:12:56 +0000
% 85.93/12.29 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 85.93/12.29 git: non_committed_changes: false
% 85.93/12.29 git: last_make_outside_of_git: false
% 85.93/12.29
% 85.93/12.29 ------ Parsing...
% 85.93/12.29 ------ Clausification by vclausify_rel & Parsing by iProver...
% 85.93/12.29
% 85.93/12.29 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 85.93/12.29
% 85.93/12.29 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 85.93/12.29
% 85.93/12.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 85.93/12.29 ------ Proving...
% 85.93/12.29 ------ Problem Properties
% 85.93/12.29
% 85.93/12.29
% 85.93/12.29 clauses 121
% 85.93/12.29 conjectures 9
% 85.93/12.29 EPR 84
% 85.93/12.29 Horn 111
% 85.93/12.29 unary 9
% 85.93/12.29 binary 37
% 85.93/12.29 lits 337
% 85.93/12.29 lits eq 4
% 85.93/12.29 fd_pure 0
% 85.93/12.29 fd_pseudo 0
% 85.93/12.29 fd_cond 0
% 85.93/12.29 fd_pseudo_cond 4
% 85.93/12.29 AC symbols 0
% 85.93/12.29
% 85.93/12.29 ------ Input Options Time Limit: Unbounded
% 85.93/12.29
% 85.93/12.29
% 85.93/12.29 ------
% 85.93/12.29 Current options:
% 85.93/12.29 ------
% 85.93/12.29
% 85.93/12.29
% 85.93/12.29
% 85.93/12.29
% 85.93/12.29 ------ Proving...
% 85.93/12.29
% 85.93/12.29
% 85.93/12.29 % SZS status Theorem for theBenchmark.p
% 85.93/12.29
% 85.93/12.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 85.93/12.29
% 85.93/12.30
%------------------------------------------------------------------------------